# An inelastic projectile

A small ball undergoes a partially elastic collision with a rough horizontal surface. Assume that friction $$f=\mu N$$ during the contact period, where $$N$$ is the normal reaction and $$\mu$$ is the coefficient of friction.

Find the value of the incoming angle $$\theta$$ (in degrees) such that the horizontal range of the ball after hitting the surface is maximized.


Details and Assumptions:

• Take the coefficient of friction $$\mu = \frac{1}{\sqrt{3}}.$$
• Take the coefficient of restitution $$e=\sqrt{3}-1$$.

Inspired from Rajdeep Brahma

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